期刊
出版社
ROYAL SOC
DOI: 10.1098/rspa.2016.0339
关键词
wrinkles; finite thickness; stiff thin film; compliant substrate; pre-strain
资金
- National Basic Research Program of China [2015CB351900]
- National Natural Science Foundation of China [11402135, 11320101001]
- Ryan Fellowship
- Northwestern University International Institute for Nanotechnology
- NSF [DMR-1121262, CMMI-1300846, CMMI-1400169]
- NIH [R01EB019337]
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [1400169, 1300846] Funding Source: National Science Foundation
A stiff thin film bonded to a pre-strained, compliant substrate wrinkles into a sinusoidal form upon release of the pre-strain. Many analytical models developed for the critical pre-strain for wrinkling assume that the substrate is semi-infinite. This critical pre-strain is actually much smaller than that for a substrate with finite thickness (Ma Y et al. 2016 Adv. Funct. Mater. (doi: 10.1002/adfm.201600713)). An analytical solution of the critical pre-strain for a system of a stiff film bonded to a pre-strained, finite-thickness, compliant substrate is obtained, and it agrees well with the finite-element analysis. The finite-thickness effect is significant when the substrate tensile stiffness cannot overwhelm the film tensile stiffness.
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